Cogolludo-Agustín, José Ignacio and László, Tamás and Martín-Morales, Jorge and Némethi, András (2022) Delta invariant of curves on rational surfaces I. The analytic approach. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 24 (7). ISSN 0219-1997
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Abstract
We prove that if (C, 0) is a reduced curve germ on a rational surface singularity (X, 0) then its delta invariant can be recovered by a concrete expression associated with the embedded topological type of the pair C ⊂ X. Furthermore, we also identify it with another (a priori) embedded analytic invariant, which is motivated by the theory of adjoint ideals. Finally, we connect our formulae with the local correction term at singular points of the global Riemann–Roch formula, valid for projective normal surfaces, introduced by Blache.
Item Type: | Article |
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Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
SWORD Depositor: | MTMT SWORD |
Depositing User: | MTMT SWORD |
Date Deposited: | 13 Mar 2023 14:04 |
Last Modified: | 06 Apr 2023 14:37 |
URI: | http://real.mtak.hu/id/eprint/162064 |
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